Branching laws for the metaplectic cover of GL2

Shiv Prakash Patel

doi:10.2140/pjm.2017.291.461

Branching laws for the metaplectic cover of GL₂

Shiv Prakash Patel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL₂(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~₂(E) of GL₂(E).

Original language	English
Pages (from-to)	461-484
Number of pages	24
Journal	Pacific Journal of Mathematics
Volume	291
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2017.291.461
State	Published - 1 Jan 2017

Keywords

Branching laws
Metaplectic group

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2140/pjm.2017.291.461

Cite this

@article{ea44bc2517ac419286260ff163527bae,

title = "Branching laws for the metaplectic cover of GL2",

abstract = "Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL2(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~2(E) of GL2(E).",

keywords = "Branching laws, Metaplectic group",

author = "Patel, {Shiv Prakash}",

note = "Publisher Copyright: {\textcopyright} 2017 Mathematical Sciences Publishers.",

year = "2017",

month = jan,

day = "1",

doi = "10.2140/pjm.2017.291.461",

language = "English",

volume = "291",

pages = "461--484",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "2",

}

TY - JOUR

T1 - Branching laws for the metaplectic cover of GL2

AU - Patel, Shiv Prakash

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL2(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~2(E) of GL2(E).

AB - Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL2(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~2(E) of GL2(E).

KW - Branching laws

KW - Metaplectic group

UR - http://www.scopus.com/inward/record.url?scp=85030031871&partnerID=8YFLogxK

U2 - 10.2140/pjm.2017.291.461

DO - 10.2140/pjm.2017.291.461

M3 - Article

AN - SCOPUS:85030031871

SN - 0030-8730

VL - 291

SP - 461

EP - 484

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -